Finding the Third Proportional to 33,662 and 52,810

Step by Step Solution

1. Step 1: Write the proportion equation
   33,662 : 52,810 = 52,810 : x
2. Step 2: Convert to fraction form
   33,662/52,810 = 52,810/x
3. Step 3: Cross multiply
   33,662x = 52,810 × 52,810
4. Step 4: Simplify right side
   33,662x = 2,788,896,100
5. Step 5: Solve for x
   x = 2,788,896,100/33,662
6. Step 6: Final answer
   x = 82,849.98